A variable straight line is drawn from a fixed point O meeting a fixed circle in P and point Q is taken on this line such that OP.OQ is constant ,then locus of Q is

A straight line is drawn from a fixed point O meeting a fixed straight line in P . A point Q is taken on the line OP such that OP.OQ is constant. Show that the locus of Q is a circle.

A straight lien is drawn from a fixed point O metting a fixed straight line P . A point Q is taken on the line OP such that OP.OQ is constant. Show that the locus of Q is a circle.

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is x^2+y^2+3x+4y=0 x^2+y^2=36 x^2+y^2=16 x^2+y^2-3x-5y=0

If A and B are two fixed points and P is a variable point such that PA + PB = 4 , the locus of P is

If P is any point on the plane l x+m y+n z=pa n dQ is a point on the line O P such that O P.O Q=p^2 , then find the locus of the point Qdot

If P is any point on the plane l x+m y+n z=pa n dQ is a point on the line O P such that O PdotO Q=p^2 , then find the locus of the point Qdot

Show that the locus of a point equidistant from a fixed point is a circle with the fixed point as centre.

if P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9 then the area of triangle OPQ is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of R is

Given n sraight lines and a fixed point O.A straight line is drawn through O meeting these lines in the points R_(1),R_(2),R_(3),……R_(n) and a point R is taken on it such that n/(OR)= sum_(r=1)^(n) 1/(OR_(r)) , Prove that the locus of R is a straight line .